Least Common Multiple of 889/208, 2478/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 889/208, 2478/396 quickly i.e. 314706/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 889/208, 2478/396 is 314706/4.

LCM(889/208, 2478/396) = 314706/4

LCM of 889/208, 2478/396

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 889/208,2478/396

Given numbers are 889/208,2478/396

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 889,2478

Least Common Multiple of Numerators i.e. LCM of 889,2478 is 314706.

GCF of Denominators means GCF of 208,396 as per the given fractions.

GCF of 208,396 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 889,2478

LCM of Fractions 889/208,2478/396 is 314706/4

7 889, 2478
127, 354

∴ So the LCM of the given numbers is 7 x 127 x 354 = 314706

Least Common Multiple of 889,2478 with GCF Formula

Least Common Multiple of 889,2478 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 889,2478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,2478) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(889,2478) x common factors =7 x 1 = 7

LCM(889,2478) = ( 889 × 2478 ) / 7

LCM(889,2478) = 2202942 / 7

LCM(889,2478) = 314706


Lets's calculate GCF of 208,396

2 208, 396
2 104, 198
52, 99

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314706/4

Therefore the LCM of Fractions 889/208,2478/396 is 314706/4

Greatest Common Factor of 208,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,396 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 208,396 . The biggest common factor number is the GCF number.
So the greatest common factor 208,396 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 889/208, 2478/396

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 889/208, 2478/396?

Answer: LCM of Numerators as per given numbers 889/208, 2478/396 is

LCM of Numerators i.e. for 889,2478 is 314706

GCF of denominators i.e. for 208,396 is 4.

Thus, LCM of Fractions is 314706/4.Finally, LCM of Fractions for 889/208, 2478/396 is 314706/4.